## Description

LFD is the class textbook

1. (200) Exercise 3.4 in LFD

2. (200) Problem 3.1 in LFD

3. (200) Problem 3.2 in LFD

4. (200) Problem 3.8 in LFD

5. (200) Problem 3.6 in LFD (6xxx Level Only)

6. (200) Handwritten Digits Data – Obtaining Features

You can download the two data files with handwritten digits data: training data (ZipDigits.train)

and test data (ZipDigits.test). Each row is a data example. The first entry is the digit, and the

next 256 are grayscale values between -1 and 1. 256 pixels corresponds to a 16 × 16 image. For

this problem, we will only use the 1 and 5 digits, so remove the other digits from your training

and test examples.

(a) Familiarize yourself with the data by giving a plot of two of the digit images.

(b) Develop two features to measure properties of the image that would be useful in distinguishing between 1 and 5. You may use symmetry and average intensity (as discussed in class)

or anything else you think will work better. Give the mathematical definition of your two

features.

(c) As in the text, give a 2-D scatter plot of your features: for each data example, plot the two

features with a red ‘×’ if it is a 5 and a blue ‘◦’ if it is a 1.

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